@Article{, title={Explicit Finite Difference Approximation for the Two-Dimensional Fractional Dispersion Equation تقريب الفروق المنتهية الصريحةّ لمعادلة التشتت الكسرية ذات البعدين}, author={I. I. Gorial}, journal={Ibn Al-Haitham Journal For Pure and Applied Sciences مجلة ابن الهيثم للعلوم الصرفة والتطبيقية}, volume={24}, number={1}, pages={245-251}, year={2011}, abstract={In this paper, we introduce and discuss an algorithm for the numerical solution of two- dimensional fractional dispersion equation. The algorithm for the numerical solution of this equation is based on explicit finite difference approximation. Consistency, conditional stability, and convergence of this numerical method are described. Finally, numerical example is presented to show the dispersion behavior according to the order of the fractional derivative and we demonstrate that our explicit finite difference approximation is a computationally efficient method for solving two-dimensional fractional dispersion equation.

} }